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BaseRepresentation
bin11000101001101…
…000110101101000
31001211012110010200
4120221220311220
51321333141420
6105012112200
713151162442
oct3051506550
91054173120
10413568360
111a24a3037
12b6605660
13678b240a
143ccd7492
1526493b90
hex18a68d68

413568360 has 96 divisors (see below), whose sum is σ = 1362596040. Its totient is φ = 108767232.

The previous prime is 413568343. The next prime is 413568371. The reversal of 413568360 is 63865314.

It can be written as a sum of positive squares in 4 ways, for example, as 398960676 + 14607684 = 19974^2 + 3822^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18412 + ... + 34148.

Almost surely, 2413568360 is an apocalyptic number.

413568360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413568360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681298020).

413568360 is an abundant number, since it is smaller than the sum of its proper divisors (949027680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413568360 is a wasteful number, since it uses less digits than its factorization.

413568360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15827 (or 15820 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 413568360 is about 20336.3802088769. The cubic root of 413568360 is about 745.0448811603.

The spelling of 413568360 in words is "four hundred thirteen million, five hundred sixty-eight thousand, three hundred sixty".